SVIBOR - Project code: 2-13-363

MINISTRY OF SCIENCE AND TECHNOLOGY

Strossmayerov trg 4, HR - 10000 ZAGREB
tel.: +385 1 459 44 44, fax: +385 1 459 44 69
E-mail: ured@znanost.hr

SVIBOR

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Project code: 2-13-363


Application of mathematical structures and design in architecture


Main researcher: KRAMER, ERIKA (23301)


Assistants
Type of research: applied
Duration from: 01/01/91. to 12/31/94.
Papers on project (total): 12
Papers on project quoted in Current Contents: 3
Institution name: Arhitektonski fakultet, Zagreb (54)
Department/Institute: Departement for Arhitectural and Bilding Constructions
Address: Kačićeva 26
City: 10000 - Zagreb, Croatia
Communication
Phone: 385 (0)1 4561222/233
Fax: 385 (0)1 440 839
Summary: 1) There does not exist a symmetric block design 2-( 85,28,9 ) on which operates the automorphism group of order 14. 2) Frobenius group of order 34 cannot operate on a symmetric design with parameters ( 154,18,2 ).

Keywords: Group, automorphism, orbital structure, masonry structures, reconstruction, energy functional, topographical surface, perspective, digitizing, filtering.

Research goals: - the construction of special mathematical structures so called designs and its application in architecture and urbanism Design theory is a part of a great mathematical discipline "Finite geometry" with closed connections to Group theory. We consider finite symmetric designs with parameters (v,k,l), where v is number of points and so many subsets of points called blocks, such that each block contains k points and any two points are incident with l blocks. A frequent approach is the investigation and construction of design is that of using various automorphism groups. -an innovative approach to descriptive geometry using CAGD and application in engineering graphics education. Computer graphics and Geometric Modeling (CAD-DG Solid Modeling System) play an extremly important role in instruction for engineering design. Computer modeling allows for the creation of complete cycle of design-from initial concept to final design specifications needed for production. -cone perspectives, as a generalization of linear perspective. Applications on constructions with regard to the interventions on topographic surfaces. Research of the possibilities for computer aided processing of cone perspective. -to study some problems of equilibrium of masonry structures ( treated as unilateral no-tension material ) -mathematical formulation of a problem with specific constitutive relations, existence theorems and numerical procedures. -to make a wide base of data about mechanical behaviour of characteristic geomertic forms of structures under standard loads. This could be used: a) for edukation of students b) in reconstruction of cultural heritage as a base of comparable model for static or dynamic analysis of structure.

COOPERATION - INSTITUTIONS


  1. Name of institution: Mathematisches Institut der Universitaet Heidelberg
    Type of institution: University/Faculty
    Type of cooperation: Occasional exchange of information
    City: 69000 - Heidelberg, Deutschland

  2. Name of institution: Technische Universitat Wien - Institut fur Geometrie
    Type of institution: University/Faculty
    Type of cooperation: Occasional exchange of information
    City: Wien, Austria

  3. Name of institution: European Assotiation for Computer Graphics
    Type of institution: State administration
    Type of cooperation: Occasional exchange of information
    City: 1288 - Aire-la-Ville, Switzerland

  4. Name of institution: Arbeitskreis fur Darstellende Geometrie der osterreichischen Fachvertreter fur DG an AHS, BHS, PADAK, Akademien,Hochschulen und Universitaten
    Type of institution: State institute
    Type of cooperation: Occasional exchange of information
    City: 6020 - Innsbruck, Austria
Other information about the project.
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Last update: 10/12/95
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